The get-together took place at the Calgary Stampede on Saturday where the baby snoozed contently while Mr Trudeau held him.
Little Justin Trudeau Adam Bilan is reportedly not the only child to have been named after Canadian Prime Minister Trudeau.
Mini Trudeau was born in Calgary - a city near the Canadian Rockies which is home to around 1,000 Syrian refugees - in May of this year.
The family chose to name their newborn after the prime minister as a thank you gesture to their adopted country.
Ms Hammoud told CBC it was an fantastic experience to meet the man who inspired their son's name and who made their new life possible.
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"He said, "this is Justin-Trudeau, ' and then he says, 'I appreciate that you named him after my name".
More than 40,000 refugees have been resettled in Canada since November of 2015. "In Syria, we name the boys like the parents, like my father's name or my husband's father's name, but now it's by appreciation for Justin Trudeau, we name him like this".
Following US president Donald Trump's ban on immigration from seven Muslim-majority countries, Mr Trudeau wrote on social media that his government remained committed to helping "those fleeing persecution, terror & war".
Muhammad and Afraa Bilal arrived in Canada in February past year with their two young children after escaping war-torn Syria.